Here is what CC Miller had to say about slatted racks (he called them bottom racks):
"The bottom-board is a plain box, two inches deep, open at one end.... With such a bottom board there is a space two inches deep under the bottom bars, a very nice thing in winter, and at any other time when there is no danger of bees building down, but quite too deep for harvest time.... Of course, with a 2-inch space under the bottom-bars the bees would build down, sometimes even as early as dandelion bloom. Before that time I shove under the bottom-bars a bottom-rack. As material for a rack there are two pieces 18x1x3/4, and 21 pieces 10-1/2x3/8x3/16. The little pieces are nailed upon the 3/4-inch sides of the two larger pieces, ladder-fashion, with 1/2-inch space between the two strips. The strips are allowed to project over at each side about an inch.
I value this bottom-rack highly. It prevents building down, and at the same time gives the bees nearly the full benefit of the deep space, preventing overheating in hot weather, thus serving as no small factor in the prevention of swarming." (Fifty Years Among the Bees, Dover reprint 2006, pp 51-52)
I've been led to believe that the value of a slatted rack is two-fold:
1) provides cluster space outside the brood area (avoiding brood-area congestion)
2) moves the brood area up out of the light coming through the bottom entrance, which encourages the queen to lay fully to the bottom of the frames